Step 1: Understand what a prime number is. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
Step 2: List the numbers after 7. The numbers after 7 are 8, 9, 10, 11, and so on.
Step 3: Check each number to see if it is prime. Start with 8: it can be divided by 1, 2, 4, and 8 (not prime). Next, check 9: it can be divided by 1, 3, and 9 (not prime). Then check 10: it can be divided by 1, 2, 5, and 10 (not prime). Finally, check 11: it can only be divided by 1 and 11 (it is prime).
Step 4: Conclude that the next prime number after 7 is 11.